By expanding the terms and applying the annihilation and creation operators on the magnetic number basis (REF ), (REF ) reproduces a spin \(1/2\)  recursion relation on the \(\lbrace 6j\rbrace \) -symbols [1]}
\(A_{+2}(j_1)\left\lbrace \begin{array}{ccc}j_1+2 & j_2-2 & j_3 \\ j_4 & j_5 & j_6-2 \end{array}\right\rbrace +A_0^{(1/2)}(j_1)\left\lbrace \begin{array}{ccc} j_1 & j_2 & j_3 \\ j_4 & j_5 & j_6 \end{array}\right\rbrace +A_{-2}(j_1)\left\lbrace \begin{array}{ccc} j_1-2 & j_2-2 & j_3 \\ j_4 & j_5 & j_6-2 \end{array}\right\rbrace =0\,,\) 
